tridiaginv.h File Reference

#include <boost/math/special_functions.hpp>
#include <cusp/dia_matrix.h>
#include <cusp/coo_matrix.h>
#include <cusp/lapack/lapack.h>
#include "dg/algorithm.h"
#include "functors.h"

Go to the source code of this file.

Classes
class	dg::mat::TridiagInvHMGTI< ContainerType, DiaMatrix, CooMatrix >
	Compute the inverse of a general tridiagonal matrix. More...
class	dg::mat::TridiagInvDF< ContainerType, DiaMatrix, CooMatrix >
	USE THIS ONE Compute the inverse of a general tridiagonal matrix. The algorithm does not rely on the determinant. More...
class	dg::mat::TridiagInvD< ContainerType, DiaMatrix, CooMatrix >
	Compute the inverse of a general tridiagonal matrix. More...

Namespaces
namespace	dg
	Classes for Krylov space approximations of a Matrix-Vector product.
namespace	dg::mat

Functions
template<class value_type >
value_type	dg::mat::compute_Tinv_m1 (const cusp::dia_matrix< int, value_type, cusp::host_memory > &T, unsigned size)
	Computes the value of \( (T^{-1})_{m1} = \langle \vec e_m, T^{-1}\vec e_1\rangle\) via a Thomas algorithm. More...
template<class value_type >
void	dg::mat::compute_Tinv_y (const cusp::dia_matrix< int, value_type, cusp::host_memory > &T, thrust::host_vector< value_type > &x, const thrust::host_vector< value_type > &y, value_type a=1., value_type d=0.)
	Computes the value of \( x = ((aT+dI)^{-1})y \) via Thomas algorithm. More...
template<class value_type >
void	dg::mat::invert (const cusp::dia_matrix< int, value_type, cusp::host_memory > &T, cusp::coo_matrix< int, value_type, cusp::host_memory > &Tinv)
	Invert a tridiagonal matrix. More...
template<class value_type >
cusp::coo_matrix< int, value_type, cusp::host_memory >	dg::mat::invert (const cusp::dia_matrix< int, value_type, cusp::host_memory > &T)
	Invert a tridiagonal matrix. More...
template<class value_type >
std::array< value_type, 2 >	dg::mat::compute_extreme_EV (const cusp::dia_matrix< int, value_type, cusp::host_memory > &T)
	Compute extreme Eigenvalues of a symmetric tridiangular matrix. More...